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Finding the Third Proportional to 26,403,842.50 and 40,390,724.50

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Solution

The third proportional to 26,403,842.50 and 40,390,724.50 is: 61,786,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,403,842.50 : 40,390,724.50 = 40,390,724.50 : x
  2. Step 2: Convert to fraction form
    26,403,842.50/40,390,724.50 = 40,390,724.50/x
  3. Step 3: Cross multiply
    26,403,842.50x = 40,390,724.50 × 40,390,724.50
  4. Step 4: Simplify right side
    26,403,842.50x = 1,631,410,625,634,900.25
  5. Step 5: Solve for x
    x = 1,631,410,625,634,900.25/26,403,842.50
  6. Step 6: Final answer
    x = 61,786,864.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.